Consider the maximum inner product of a density operator with a maximally entangled state. (So, given a density operator, we're maximizing over all maximally entangled states.)(adsbygoogle = window.adsbygoogle || []).push({});

I'm pretty sure the minimum value (a lower bound on the maximum) for this is 1/n^{2}, using the density operator 1/n^{2}identity. How can I prove that is the minimum?

Thanks!

Reuben

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# Inner product with maximally entangled state

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